It has been customary in the last few decades to employ stochastic models to represent complex data sets encountered in geophysics, particularly in hydrology. This article reviews a deterministic geometric procedure to data modeling, one that represents whole data sets as derived distributions of simple multifractal measures via fractal functions. It is shown how such a procedure may lead to faithful holistic representations of existing geophysical data sets that, while complementing existing representations via stochastic methods, may also provide a compact language for geophysical complexity. The implications of these ideas, both scientific and philosophical, are stressed.
CITATION STYLE
Puente, C. E., & Sivakumar, B. (2007). Modeling geophysical complexity: A case for geometric determinism. Hydrology and Earth System Sciences, 11(2), 721–724. https://doi.org/10.5194/hess-11-721-2007
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